Extended cut groups
Group Theory
2025-03-21 v1 Rings and Algebras
Abstract
A finite group G is said to be a cut group if all central units in the integral group ring ZG are trivial. In this article, we extend the notion of cut groups, by introducing extended cut groups. We study the properties of extended cut groups analogous to those known for cut groups and also characterise some substantial classes of groups having the property of being extended cut. A complete classification of extended cut split metacyclic groups has been presented.
Cite
@article{arxiv.2503.15658,
title = {Extended cut groups},
author = {Àngel García-Blàzquez and Gurleen Kaur and Sugandha Maheshwary},
journal= {arXiv preprint arXiv:2503.15658},
year = {2025}
}
Comments
16 pages